Callan-Symanzik approach to infrared Yang-Mills theory

Dyson-Schwinger equations are the most common tool for the determination of the correlation functions of Landau gauge Yang-Mills theory in the continuum, in particular in the infrared regime. We shall argue that the use of Callan-Symanzik renormalization group equations has distinctive advantages ov...

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Main Authors: Weber Axel, Dall’Olio Pietro
Format: Article
Language:English
Published: EDP Sciences 2014-01-01
Series:EPJ Web of Conferences
Online Access:http://dx.doi.org/10.1051/epjconf/20148000016
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author Weber Axel
Dall’Olio Pietro
author_facet Weber Axel
Dall’Olio Pietro
author_sort Weber Axel
collection DOAJ
description Dyson-Schwinger equations are the most common tool for the determination of the correlation functions of Landau gauge Yang-Mills theory in the continuum, in particular in the infrared regime. We shall argue that the use of Callan-Symanzik renormalization group equations has distinctive advantages over the Dyson-Schwinger equations, in particular for the vertex functions. We present a generalization of the infrared safe renormalization scheme proposed by Tissier and Wschebor in 2011. The comparison with the existing lattice data for the gluon and ghost propagators can be used to determine the most appropriate renormalization scheme.
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spelling doaj.art-b1a6f57ad0814594aa2f897b923b59202022-12-21T16:43:02ZengEDP SciencesEPJ Web of Conferences2100-014X2014-01-01800001610.1051/epjconf/20148000016epjconf_qcd2014_00016Callan-Symanzik approach to infrared Yang-Mills theoryWeber Axel0Dall’Olio Pietro1Instituto de Física y Matemáticas, Universidad Michoacana de San Nicolás de HidalgoInstituto de Física y Matemáticas, Universidad Michoacana de San Nicolás de HidalgoDyson-Schwinger equations are the most common tool for the determination of the correlation functions of Landau gauge Yang-Mills theory in the continuum, in particular in the infrared regime. We shall argue that the use of Callan-Symanzik renormalization group equations has distinctive advantages over the Dyson-Schwinger equations, in particular for the vertex functions. We present a generalization of the infrared safe renormalization scheme proposed by Tissier and Wschebor in 2011. The comparison with the existing lattice data for the gluon and ghost propagators can be used to determine the most appropriate renormalization scheme.http://dx.doi.org/10.1051/epjconf/20148000016
spellingShingle Weber Axel
Dall’Olio Pietro
Callan-Symanzik approach to infrared Yang-Mills theory
EPJ Web of Conferences
title Callan-Symanzik approach to infrared Yang-Mills theory
title_full Callan-Symanzik approach to infrared Yang-Mills theory
title_fullStr Callan-Symanzik approach to infrared Yang-Mills theory
title_full_unstemmed Callan-Symanzik approach to infrared Yang-Mills theory
title_short Callan-Symanzik approach to infrared Yang-Mills theory
title_sort callan symanzik approach to infrared yang mills theory
url http://dx.doi.org/10.1051/epjconf/20148000016
work_keys_str_mv AT weberaxel callansymanzikapproachtoinfraredyangmillstheory
AT dalloliopietro callansymanzikapproachtoinfraredyangmillstheory